Accession Number : AD0727486

Title :   A General Maximum Principle for Optimization Problems with Operator Inequalities,

Corporate Author : ISTITUTO PER LE APPLICAZIONI DEL CALCOLO ROME (ITALY)

Personal Author(s) : Altman,Mieczyslaw

Report Date : 11 FEB 1970

Pagination or Media Count : 14

Abstract : A previous paper by the author (1968) contains a very general maximum principle for a mathematical programming problem over an arbitrary set. This principle includes and extends all the most important necessary conditions for optimization problems. The characteristic feature of this principle is that the necessary condition has both a primary form and a dual form which follows from the first one. The purpose of this paper is to extend this maximum principle by introducing an order relation. The additional equality constraints involved in the maximum principle in the author's earlier paper are of very general nature, but the additional inequality constraints are determined by real functions. This restriction has been removed in the extended maximum principle presented here. Thus, by introducing an order relation the additional inequality relations are determined by general functions with values in a partially ordered linear space with a notion of convergence. (Author)

Descriptors :   (*MATHEMATICAL PROGRAMMING, THEOREMS), CONVEX SETS, OPTIMIZATION, INEQUALITIES, ITALY

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE